Changing WordPress blog name and web address

I created a self-hosted WordPress blog (on Dreamhost) several years ago. I’ve never truly been happy with the name and URL/domain of the blog, and I’ve decided that I want to change it.

Here’s what I’d like to do:

1. Register the new domain name. (Say www.newblog.com for example.)

2. Redirect traffic from the old domain name (www.oldblog.com) to the new one (www.newblog.com).

3. Begin using www.newblog.com as the new web address.

I’ll be staying at the same web host through all this. I know there are lots of smaller steps I need to take in here, so I’d appreciate it if someone could help me fill in the blanks.

Thanks!